Mechanical Engineering GATE 2014 Set-4 Questions with Answer

Ques 1 Engineering Mathematics

Which one of the following equations is a correct identity for arbitrary 3×3 real matrices P, Q and R?

Ques 2 Engineering Mathematics

The value of the integral is

Ques 3 Engineering Mathematics

The solution of the initial value problem
dy/dx = -2xy; y(0)=2 is

Ques 4 Engineering Mathematics

A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. 500 and a standard deviation of Rs. 50. The percentage of savings account holders, who maintain an average daily balance more than Rs. 500 is __________.

Ques 5 Engineering Mathematics

Laplace transform of cos(ωt) is s/(s²+ω²). The Laplace transform of e^-2tcos(4t) is

Ques 6 Engineering Mathematics

If z is a complex variable, the value of an integral is given as ∫³ⁱ₅ d(z) dz. What is its value?

Ques 7 Engineering Mathematics

The value of is

Ques 8 Engineering Mathematics

The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is

Ques 9 Engineering Mathematics

Consider an ordinary differential equation dx/dt = 4t+4. If x=x₀ at t=0, the increment in x calculated using Runge-Kutta fourth order multi-step method with a step size of Δt=0.2 is

Ques 10 General Aptitude

Which of the following options is the closest in meaning to the word underlined in the sentence below?
In a democracy, everybody has the freedom to disagree with the government.

Ques 11 General Aptitude

After the discussion, Tom said to me, 'Please revert!'. He expects me to

Ques 12 General Aptitude

While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word 'vindicated'?

Ques 13 General Aptitude

Let f(x,y) = xⁿy^m = P. If x is doubled and y is halved, the new value of f is